97141305625 has 135 divisors (see below), whose sum is σ = 154027974177. Its totient is φ = 61038432000.

The previous prime is 97141305607. The next prime is 97141305647. The reversal of 97141305625 is 52650314179.

The square root of 97141305625 is 311675.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 67382295561 + 29759010064 = 259581^2 + 172508^2 .

It is not a de Polignac number, because 97141305625 - 2¹¹ = 97141303577 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 709060557 + ... + 709060693.

Almost surely, 2^97141305625 is an apocalyptic number.

97141305625 is the 311675-th square number.

97141305625 is the 155838-th centered octagonal number.

It is an amenable number.

97141305625 is a deficient number, since it is larger than the sum of its proper divisors (56886668552).

97141305625 is an equidigital number, since it uses as much as digits as its factorization.

97141305625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 97141305625 in words is "ninety-seven billion, one hundred forty-one million, three hundred five thousand, six hundred twenty-five".